Abstract: Collisional broadening in QCD plasmas leads to the emission of medium induced radiation, which governs the energy loss of highly energetic particles or jets. While recent studies have obtained non-perturbative
contributions to the collisional broadening kernel C(b⊥) using lattice simulation of the dimensionally reduced long-distance effective theory of QCD, Electrostatic QCD (EQCD) [1], so far all phenomenological
calculations of jet quenching rely on perturbative determinations of the collisional broadening kernel. By matching the short-distance behavior of the lattice extracted EQCD broadening kernel [2], we determine the
fully matched QCD broadening kernel non-perturbatively. We present results for the collisional broadening kernel in impact-parameter (CQCD(b⊥)) and momentum space (CQCD(q⊥)) and employ them to determine the rates of medium induced radiation in infinite and finite size QCD plasmas [3]. By contrasting our results with leading and next-to-leading order perturbative determinations as well as various approximations of the splitting rates employed in the literature, we investigate the effect of the non-peturbative determination of C_{QCD}(q⊥) on medium-induced radiation rates.
[1] - G. D. Moore and N. Schlusser, Phys. Rev., vol. D100, no. 3, p. 034510, 2019
[2] - G. D. Moore, S. Schlichting, N. Schlusser and I. Soudi, JHEP 10 (2021), 059
[3] - S. Schlichting, I. Soudi, Phys.Rev.D 105 (2022) 7, 076002
Yacine Mehtar-Tani